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Finding the Fourth Proportional to 412,362.76, 569,074.50 and 393,467.08

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Solution

The fourth proportional to 412,362.76, 569,074.50 and 393,467.08 is: 542,997.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,362.76 : 569,074.50 = 393,467.08 : x
  2. Step 2: Convert to fraction form
    412,362.76/569,074.50 = 393,467.08/x
  3. Step 3: Cross multiply
    412,362.76x = 569,074.50 × 393,467.08
  4. Step 4: Simplify right side
    412,362.76x = 223,912,081,817.46
  5. Step 5: Solve for x
    x = 223,912,081,817.46/412,362.76
  6. Step 6: Final answer
    x = 542,997.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.